olymmath

BALTIC-WAY 2000 Problem 5

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Let ABCA B C be a triangle such that ∣BC∣∣AB∣−∣BC∣=∣AB∣+∣BC∣∣AC∣\frac{|B C|}{|A B|-|B C|}=\frac{|A B|+|B C|}{|A C|}. Determine the ratio ∠A:∠C\angle A: \angle C.

Dataset text NuminaMath olympiads. Quoted with source.

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